Atkin-Lehner |
3+ 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
125715q |
Isogeny class |
Conductor |
125715 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1214208 |
Modular degree for the optimal curve |
Δ |
-11606788412143875 = -1 · 33 · 53 · 179 · 29 |
Discriminant |
Eigenvalues |
2 3+ 5- 1 0 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-126100,-17955969] |
[a1,a2,a3,a4,a6] |
Generators |
[20955126280330:2049734429000789:2186875592] |
Generators of the group modulo torsion |
j |
-1869959168/97875 |
j-invariant |
L |
13.793420766874 |
L(r)(E,1)/r! |
Ω |
0.12629020994992 |
Real period |
R |
18.203338659878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125715v1 |
Quadratic twists by: 17 |